Alexa was comparing the price of salmon at two stores. The equation y, equals, 11, point, 5, 4, xy=11.54x represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery B. At SuperGrocery A, 5 pounds of salmon costs $37.10.
How much more expensive is it, per pound, to buy salmon at Store B than at Store A?
First, let's calculate the cost per pound of salmon at SuperGrocery A. We are given that 5 pounds of salmon cost $37.10 there. We can find the price per pound by dividing the total cost by the total weight:
Cost per pound at SuperGrocery A = Total Cost at SuperGrocery A / Total Weight at SuperGrocery A
Cost per pound at SuperGrocery A = $37.10 / 5 pounds
Cost per pound at SuperGrocery A = $7.42
Next, the equation for the cost of salmon at SuperGrocery B is given by y = 11.54x, where y is the total cost and x is the number of pounds of salmon. Since the coefficient 11.54 represents the cost per pound (as the equation is in the form of y = mx which is the slope-intercept form, with m being the cost per pound), we know that SuperGrocery B charges $11.54 per pound of salmon.
Now, we can find out how much more expensive it is to buy salmon per pound at SuperGrocery B compared to SuperGrocery A:
Difference in cost per pound = Cost per pound at SuperGrocery B - Cost per pound at SuperGrocery A
Difference in cost per pound = $11.54 - $7.42
Difference in cost per pound = $4.12
Therefore, it is $4.12 more expensive per pound to buy salmon at SuperGrocery B than at SuperGrocery A.